EP3029311B1 - Method for stabilizing the rotation speed of a hydraulic machine with s-characteristics and installation for converting hydraulic energy into electrical energy - Google Patents
Method for stabilizing the rotation speed of a hydraulic machine with s-characteristics and installation for converting hydraulic energy into electrical energy Download PDFInfo
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- EP3029311B1 EP3029311B1 EP14290369.9A EP14290369A EP3029311B1 EP 3029311 B1 EP3029311 B1 EP 3029311B1 EP 14290369 A EP14290369 A EP 14290369A EP 3029311 B1 EP3029311 B1 EP 3029311B1
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- machine
- rotation speed
- controller
- guide vanes
- orientation
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- 238000000034 method Methods 0.000 title claims description 39
- 238000009434 installation Methods 0.000 title claims description 14
- 230000000087 stabilizing effect Effects 0.000 title claims description 11
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 claims description 16
- 230000001105 regulatory effect Effects 0.000 claims description 5
- 230000008878 coupling Effects 0.000 description 14
- 238000010168 coupling process Methods 0.000 description 14
- 238000005859 coupling reaction Methods 0.000 description 14
- 230000033228 biological regulation Effects 0.000 description 5
- 230000001360 synchronised effect Effects 0.000 description 5
- 230000006641 stabilisation Effects 0.000 description 4
- 238000011105 stabilization Methods 0.000 description 4
- 230000003247 decreasing effect Effects 0.000 description 2
- 238000011144 upstream manufacturing Methods 0.000 description 2
- 230000005611 electricity Effects 0.000 description 1
- 238000005259 measurement Methods 0.000 description 1
Images
Classifications
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F03—MACHINES OR ENGINES FOR LIQUIDS; WIND, SPRING, OR WEIGHT MOTORS; PRODUCING MECHANICAL POWER OR A REACTIVE PROPULSIVE THRUST, NOT OTHERWISE PROVIDED FOR
- F03B—MACHINES OR ENGINES FOR LIQUIDS
- F03B15/00—Controlling
- F03B15/02—Controlling by varying liquid flow
- F03B15/04—Controlling by varying liquid flow of turbines
- F03B15/06—Regulating, i.e. acting automatically
- F03B15/08—Regulating, i.e. acting automatically by speed, e.g. by measuring electric frequency or liquid flow
- F03B15/10—Regulating, i.e. acting automatically by speed, e.g. by measuring electric frequency or liquid flow without retroactive action
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F03—MACHINES OR ENGINES FOR LIQUIDS; WIND, SPRING, OR WEIGHT MOTORS; PRODUCING MECHANICAL POWER OR A REACTIVE PROPULSIVE THRUST, NOT OTHERWISE PROVIDED FOR
- F03B—MACHINES OR ENGINES FOR LIQUIDS
- F03B15/00—Controlling
- F03B15/005—Starting, also of pump-turbines
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F03—MACHINES OR ENGINES FOR LIQUIDS; WIND, SPRING, OR WEIGHT MOTORS; PRODUCING MECHANICAL POWER OR A REACTIVE PROPULSIVE THRUST, NOT OTHERWISE PROVIDED FOR
- F03B—MACHINES OR ENGINES FOR LIQUIDS
- F03B15/00—Controlling
- F03B15/02—Controlling by varying liquid flow
- F03B15/04—Controlling by varying liquid flow of turbines
- F03B15/06—Regulating, i.e. acting automatically
- F03B15/08—Regulating, i.e. acting automatically by speed, e.g. by measuring electric frequency or liquid flow
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F03—MACHINES OR ENGINES FOR LIQUIDS; WIND, SPRING, OR WEIGHT MOTORS; PRODUCING MECHANICAL POWER OR A REACTIVE PROPULSIVE THRUST, NOT OTHERWISE PROVIDED FOR
- F03B—MACHINES OR ENGINES FOR LIQUIDS
- F03B3/00—Machines or engines of reaction type; Parts or details peculiar thereto
- F03B3/02—Machines or engines of reaction type; Parts or details peculiar thereto with radial flow at high-pressure side and axial flow at low-pressure side of rotors, e.g. Francis turbines
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F03—MACHINES OR ENGINES FOR LIQUIDS; WIND, SPRING, OR WEIGHT MOTORS; PRODUCING MECHANICAL POWER OR A REACTIVE PROPULSIVE THRUST, NOT OTHERWISE PROVIDED FOR
- F03B—MACHINES OR ENGINES FOR LIQUIDS
- F03B3/00—Machines or engines of reaction type; Parts or details peculiar thereto
- F03B3/04—Machines or engines of reaction type; Parts or details peculiar thereto with substantially axial flow throughout rotors, e.g. propeller turbines
- F03B3/06—Machines or engines of reaction type; Parts or details peculiar thereto with substantially axial flow throughout rotors, e.g. propeller turbines with adjustable blades, e.g. Kaplan turbines
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F03—MACHINES OR ENGINES FOR LIQUIDS; WIND, SPRING, OR WEIGHT MOTORS; PRODUCING MECHANICAL POWER OR A REACTIVE PROPULSIVE THRUST, NOT OTHERWISE PROVIDED FOR
- F03B—MACHINES OR ENGINES FOR LIQUIDS
- F03B3/00—Machines or engines of reaction type; Parts or details peculiar thereto
- F03B3/10—Machines or engines of reaction type; Parts or details peculiar thereto characterised by having means for functioning alternatively as pumps or turbines
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F03—MACHINES OR ENGINES FOR LIQUIDS; WIND, SPRING, OR WEIGHT MOTORS; PRODUCING MECHANICAL POWER OR A REACTIVE PROPULSIVE THRUST, NOT OTHERWISE PROVIDED FOR
- F03B—MACHINES OR ENGINES FOR LIQUIDS
- F03B3/00—Machines or engines of reaction type; Parts or details peculiar thereto
- F03B3/10—Machines or engines of reaction type; Parts or details peculiar thereto characterised by having means for functioning alternatively as pumps or turbines
- F03B3/103—Machines or engines of reaction type; Parts or details peculiar thereto characterised by having means for functioning alternatively as pumps or turbines the same wheel acting as turbine wheel and as pump wheel
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F05—INDEXING SCHEMES RELATING TO ENGINES OR PUMPS IN VARIOUS SUBCLASSES OF CLASSES F01-F04
- F05B—INDEXING SCHEME RELATING TO WIND, SPRING, WEIGHT, INERTIA OR LIKE MOTORS, TO MACHINES OR ENGINES FOR LIQUIDS COVERED BY SUBCLASSES F03B, F03D AND F03G
- F05B2270/00—Control
- F05B2270/10—Purpose of the control system
- F05B2270/101—Purpose of the control system to control rotational speed (n)
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F05—INDEXING SCHEMES RELATING TO ENGINES OR PUMPS IN VARIOUS SUBCLASSES OF CLASSES F01-F04
- F05B—INDEXING SCHEME RELATING TO WIND, SPRING, WEIGHT, INERTIA OR LIKE MOTORS, TO MACHINES OR ENGINES FOR LIQUIDS COVERED BY SUBCLASSES F03B, F03D AND F03G
- F05B2270/00—Control
- F05B2270/10—Purpose of the control system
- F05B2270/101—Purpose of the control system to control rotational speed (n)
- F05B2270/1014—Purpose of the control system to control rotational speed (n) to keep rotational speed constant
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F05—INDEXING SCHEMES RELATING TO ENGINES OR PUMPS IN VARIOUS SUBCLASSES OF CLASSES F01-F04
- F05B—INDEXING SCHEME RELATING TO WIND, SPRING, WEIGHT, INERTIA OR LIKE MOTORS, TO MACHINES OR ENGINES FOR LIQUIDS COVERED BY SUBCLASSES F03B, F03D AND F03G
- F05B2270/00—Control
- F05B2270/70—Type of control algorithm
- F05B2270/706—Type of control algorithm proportional-integral-differential
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
- Y02E10/00—Energy generation through renewable energy sources
- Y02E10/20—Hydro energy
Definitions
- the invention relates to a method according to the preamble of claim 1, for stabilizing the rotation speed of a hydraulic machine with S-characteristics.
- Typical hydraulic machines with S-characteristics are pump-turbine functioning in turbine mode or Francis turbine designed for high net head conditions.
- the invention also concerns an installation according to the preamble of claim 7, for converting hydraulic energy into electrical energy, on which this method can be implemented.
- the rotation speed of its runner must be stabilized and synchronized with the grid frequency, so that the machine can be coupled to the grid.
- the coupling operation is usually performed when the pump-turbine is at a no-load operating point, at which the water flow does not exert any torque on the runner. This particular operating point is the coupling point.
- hydraulic parts of the machine such as the runner or the guide vanes.
- hydraulic parts of the machine are redesigned to avoid the presence of S-zones in the operating range of the pump-turbine in turbine mode.
- the operating range of a machine corresponds to the interval between the lower gross head and the upper gross head to which may be subjected the machine.
- this solution is very expensive to implement and reduces the performance of the pump-turbine.
- Another solution consists in equipping the pump-turbine with non-synchronized guide vanes. This means that some guide vanes can be oriented independently. As a result, at machine start-up, some of the guide vanes are opened further than others, which temporarily modifies the machine characteristics. This allows avoiding the presence of S-zones during start-up. Nevertheless, this solution generates unwilled vibrations which impact the life-time of the machine.
- the patent application US-A-2004/0115048 tackles the issue of rotational speed stabilization in S-zones in a different way.
- this publication provides a method for stabilizing the rotation speed of a turbine apparatus at a point that is very close to the S-characteristic portion, without risking entering in this unstable portion.
- the S-characteristic portion can be defined as the curve portion with a positive slope on figure 1A of the application, that is the portion below the NR curve.
- the NR curve is the curve at which no torque is exerted by water flow on the turbine runner.
- the method consists in using a PID controller acting directly on the rotation speed of the machine. This PID controller is specific in that its characteristic parameters may be changed depending on the rotation speed of the machine.
- the predetermined speed is set to 80% of the target rotation speed.
- the major drawback of this method is that it does not allow stabilizing the rotation speed of the machine when the coupling point is precisely located into the S-characteristic portion.
- the invention intends to solve this drawback by proposing a method for stabilizing the rotation speed of a hydraulic machine that allows stabilizing the rotation speed in S-characteristic portion.
- the invention concerns a method for stabilizing the rotation speed of a hydraulic machine with S-characteristics as defined in claim 1.
- the characteristic parameters of the controller are changed at each iteration for ensuring the control loop feed-back system stability.
- This control loop feed-back system is then not sensitive to the fact that the coupling point is or is not in a S-characteristic portion. Consequently, the machine may be synchronized to the grid even when the coupling point is located in the S-characteristic portion.
- the invention also concerns an installation for converting hydraulic energy into electrical energy as defined in claim 7.
- Figure 1 represents an installation 2 for converting hydraulic energy into electrical energy.
- the installation 2 includes a hydraulic machine.
- this hydraulic machine is a pump-turbine 20 that uses, in turbine mode, hydraulic energy to set a shaft 201 in rotation around an axis Z201.
- the shaft 201 is coupled to a non-represented generator to produce electricity.
- the pump-turbine 20 is functioning in turbine mode.
- the pump-turbine 20 includes a volute 200 that is supported by concrete blocks 22 and 24.
- a non-represented penstock extends between a non-represented upstream reservoir and the volute 200. This penstock generates a forced water flow F to power the machine 20.
- the machine 20 includes a runner 202 that is surrounded by the volute 200 and that includes blades 208 between which water flows in operating conditions. As a result, the runner 202 rotates around an axis Z202 that is superimposed with the axis of rotation Z201 of the shaft 201. The runner 202 is secured to the shaft 201.
- a distributor is arranged around the runner 202. It includes a plurality of movable guide vanes 206 that are evenly distributed around the runner 202.
- a pre-distributor is disposed upstream of and around the distributor. The pre-distributor is formed by a plurality of stay vanes 204 evenly distributed around the axis of rotation Z202 of the runner 202.
- a suction pipe 26 is disposed below the runner 202 and is adapted to evacuate water downstream the machine 20.
- the guide vanes 206 of the distributor have each an adjustable pitch around an axis Z206 parallel to the axis of rotation Z202 of the runner 202. Consequently, they may be swiveled to regulate the flow rate of water entering the machine 20.
- the guide vanes 206 are all oriented with the same angle relative to a closed position. In other words, they are synchronized.
- the hillchart of a hydraulic machine is a collection of operating points that are each defined by a quadruplet of values N11, C11, Q11, Y, wherein Y is the orientation affected to the guide vanes 206, N11 is a parameter that depends on the rotation speed of the machine, C11 is a parameter that depends on the torque exerted by water of flow F on the machine runner and Q11 is a parameter that depends on the flow rate of water flowing through the hydraulic machine.
- N11 is a parameter that depends on the rotation speed of the machine
- C11 is a parameter that depends on the torque exerted by water of flow F on the machine runner
- Q11 is a parameter that depends on the flow rate of water flowing through the hydraulic machine.
- figure 2 represents five iso-opening curves that correspond each to a different guide vanes orientation Y1, Y2, Y3, Y4 and Y5. These iso-opening curves are plotted on a graph having N11-axis as abscissa axis and C11-axis as ordinate axis.
- the upper right quadrant of that graph that is the quadrant wherein N11 and C11 are both positive, corresponds to turbine mode.
- the operating range of the pump-turbine 20 corresponds to the interval between a lower gross head Hmin and an upper gross head Hmax to which may be subjected the machine.
- the coupling point I of the machine 20 is known.
- This coupling point I corresponds to a point at which the pump-turbine 20 may be coupled to the grid in turbine mode. It is a no-load operating point, at which no torque is exerted on the runner 202 and at which the machine rotation speed is synchronized with the grid frequency.
- this coupling point I is located on the iso-opening curve associated to the guide vanes opening Y2.
- the hydraulic machine 20 presents S-characteristics under low water fall conditions. More precisely, the iso-opening curves corresponding to the guide vanes opening Y1 and Y2, which allow reaching the machine coupling point under low water fall conditions, include an S-portion.
- an S-characteristic portion of an iso-opening curve corresponds to a curve portion having a positive slope.
- it is a curve portion for which an increase of the parameter N11 implies an increase of the parameter C11.
- the S-characteristic portion is delimited between points K and J.
- the S-characteristic portion is deemed unstable. This means that the hydraulic machine 20 is sensitive to perturbations in this particular portion. As a result, a slight variation of the rotation speed of the machine relative to the coupling point I implies a significant increase of the torque applied while the water flow F on the runner 202 of the pump-turbine 20, hence substantially increasing or decreasing the machine rotation speed. The stabilization of the machine rotation speed may then be hard to achieve.
- the method is suited for stabilizing the machine rotation speed when the coupling point is located in a S-characteristic portion, such the point I.
- this method is implemented by means of a control loop feed-back system 1 having a controller C(s) that is, in the example, a proportional integrative derivative controller.
- the controller C(s) takes as input a speed difference ⁇ N between the rotation speed N of the hydraulic machine and the target rotation speed Nc. Then, the controller C(s) outputs an orientation Yi to affect the guide vanes 206.
- the control loop feedback system 1 acts directly on the real machine behavior, that is represented by bloc real ⁇ on figure 3 .
- Real ⁇ corresponds to the real transfer function of the hydraulic machine 20.
- the method is iterative. It consists then in successively generating regulation parameters of C(s) to stabilize the rotation speed at the target rotation speed.
- the target rotation speed Nc corresponds to a synchronization speed with the grid.
- the guide vanes 206 are oriented at a nominal orientation.
- a first step of the method consists in calculating a set of internal states associated to the operating point of the machine 20.
- This set of internal states includes the coordinates N11, Q11, C11 of the operating point, the net head H subjected to the hydraulic machine 20, the flow rate Q of water passing through the machine 20 and some partial derivatives associated to the coordinates of the machine operating point. These partial derivatives are intrinsic to the operating point quadruplet of values.
- the set of internal states associated to the operating point may be calculated on the basis of hillchart knowledge and of direct measurements.
- a calculator 102 integrated to the control loop feedback system 1 allows performing this task.
- the transfer function ⁇ real is highly non-linear and cannot be directly exploited to stabilize the machine rotational speed.
- a second step of the method consists then in establishing a linearized transfer function ⁇ lin(s) that may be used in the calculation process leading to the stabilization of the machine rotation speed N. It represents the machine rotational speed in function of the orientation affected to the guide vanes.
- This transfer function ⁇ lin(s) can be considered as the closest linearized model to reality.
- the characteristic parameters A0, A1, B0, B1 and B2 of the linearized transfer function ⁇ lin(s) are calculated in function of the set of internal states calculated at the first step so that the transfer function ⁇ lin(s) is as realistic as possible. This operation is done in a calculator 103.
- the linearized transfer function characteristic parameters are calculated so that the rotation speed calculated according to this linearized function is approximately the same than the real rotation speed at a given guide vanes orientation.
- a third step of the method is to calculate the regulation parameters Kp, Ti and Td of the controller so that the control loop feedback system 1 is stable.
- a calculator 100 designed for performing this task is integrated to the control system 1 and the real transfer function real ⁇ is approximated by the linearized transfer function ⁇ lin(s).
- poles of an expression are the values of the Laplace variable s for which the denominator of the expression is null.
- pole compensation method is presented here. Pole placement method can also be used but is not presented.
- the poles of the denominator of the transfer function ⁇ lin(s) are deemed unstable.
- poles of the denominator of the approximated control loop-transfer function F(s) must each have a negative real part.
- a pole placement method can be used. This pole placement method consists in adjusting the parameters of the expression to obtain one or more desired poles.
- a pole equals to ⁇ 1 T B F can be chosen, wherein T BF corresponds to a characteristic time period of the controller.
- Kp B 1 T B F * A 0 ⁇ A 1
- a fourth step of the method is to measure the rotation speed N of the machine.
- a further step consists in comparing the measured rotation speed N with the target rotation speed Nc, that corresponds to the synchronization speed with the grid.
- a last step consists in automatically adjusting, by the controller, the orientation affected to the guide vanes 206 so as to reduce the speed difference ⁇ N between the measured rotation speed N and the target rotation speed Nc.
- the controller outputs a target opening Y i +1 to affect the guide vanes 206.
- This target opening Y i +1 is used as a command for the guide vanes 206 of the real system represented by the linearized transfer function ⁇ lin(s).
- the characteristic parameters of the linearized transfer function ⁇ lin(s) are calculated at each iteration of the method to fit as much as possible with reality. Accordingly, the regulation parameters Kp, Ti and Td of the controller are calculated at each increment, that is at each iteration of the method, so as to obtain a control loop feedback system that is stable.
- a similar method can be implemented to stabilize the rotation speed of a double-regulated turbine, such as a Kaplan turbine or a Bulb turbine.
- a double-regulated turbine includes a hub equipped with movable blades. The flow rate of water circulating around the hub is also regulated thanks to a series of guide vanes.
- the movable blades are also oriented to reduce the speed difference ⁇ N between the rotation speed N calculated on the basis of the transfer function ⁇ lin(s) and the target rotation speed Nc.
- controller C(s) may be a lead-lag compensator or a double derivative controller.
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Description
- The invention relates to a method according to the preamble of claim 1, for stabilizing the rotation speed of a hydraulic machine with S-characteristics. Typical hydraulic machines with S-characteristics are pump-turbine functioning in turbine mode or Francis turbine designed for high net head conditions. The invention also concerns an installation according to the preamble of claim 7, for converting hydraulic energy into electrical energy, on which this method can be implemented.
- During a pump-turbine start-up in turbine mode, the rotation speed of its runner must be stabilized and synchronized with the grid frequency, so that the machine can be coupled to the grid. Besides, the coupling operation is usually performed when the pump-turbine is at a no-load operating point, at which the water flow does not exert any torque on the runner. This particular operating point is the coupling point.
- Under low water fall conditions, rotational speed stabilization may be hard to reach because of the presence of "S-zones". "S-zones" are unstable zones wherein the machine is sensitive to perturbations. As a result, a slight rotational speed variation relative to the coupling point leads to a significant increase of the torque applied by the water flow on the runner, hence substantially increasing or decreasing the rotation speed of the machine. Under these conditions, it is not possible to stabilize the machine rotational speed with a conventional PID loop.
- To solve this problem, it is known to completely redesign hydraulic parts of the machine, such as the runner or the guide vanes. In particular, hydraulic parts of the machine are redesigned to avoid the presence of S-zones in the operating range of the pump-turbine in turbine mode. The operating range of a machine corresponds to the interval between the lower gross head and the upper gross head to which may be subjected the machine. However, this solution is very expensive to implement and reduces the performance of the pump-turbine.
- Another solution consists in equipping the pump-turbine with non-synchronized guide vanes. This means that some guide vanes can be oriented independently. As a result, at machine start-up, some of the guide vanes are opened further than others, which temporarily modifies the machine characteristics. This allows avoiding the presence of S-zones during start-up. Nevertheless, this solution generates unwilled vibrations which impact the life-time of the machine.
- Finally, the patent application
US-A-2004/0115048 tackles the issue of rotational speed stabilization in S-zones in a different way. Indeed, this publication provides a method for stabilizing the rotation speed of a turbine apparatus at a point that is very close to the S-characteristic portion, without risking entering in this unstable portion. The S-characteristic portion can be defined as the curve portion with a positive slope onfigure 1A of the application, that is the portion below the NR curve. The NR curve is the curve at which no torque is exerted by water flow on the turbine runner. The method consists in using a PID controller acting directly on the rotation speed of the machine. This PID controller is specific in that its characteristic parameters may be changed depending on the rotation speed of the machine. More precisely, when the machine rotation speed increases from 0 to a predetermined speed, a high gain is affected to the coefficients of the proportional and integrative elements of the PID controller. However, when the rotation speed exceeds the predetermined speed, a low gain is affected to the coefficients of the proportional and integrative elements of the PID controller. - In the described example, the predetermined speed is set to 80% of the target rotation speed. As a result, when the machine operating point gets close to the coupling point, the speed of convergence toward the coupling point is slowed down to avoid exciting the system and entering into the unstable S-characteristic portion. The characteristic parameters of the PID controller are selected between two values using a pair of switches.
- The major drawback of this method is that it does not allow stabilizing the rotation speed of the machine when the coupling point is precisely located into the S-characteristic portion.
- The invention intends to solve this drawback by proposing a method for stabilizing the rotation speed of a hydraulic machine that allows stabilizing the rotation speed in S-characteristic portion.
- To this end, the invention concerns a method for stabilizing the rotation speed of a hydraulic machine with S-characteristics as defined in claim 1.
- Thanks to the invention, the characteristic parameters of the controller are changed at each iteration for ensuring the control loop feed-back system stability. This control loop feed-back system is then not sensitive to the fact that the coupling point is or is not in a S-characteristic portion. Consequently, the machine may be synchronized to the grid even when the coupling point is located in the S-characteristic portion.
- Further aspects of the method which are advantageous but not compulsory are specified in
claims 2 to 6. - The invention also concerns an installation for converting hydraulic energy into electrical energy as defined in claim 7.
- Further aspects of the installation which are advantageous but not compulsory are specified in claims 8 to 10.
- The invention will now be explained in correspondence with the figures, and as an illustrative example, without restricting the object of the invention. In the figures:
-
figure 1 is a schematic section of an installation for converting hydraulic energy into electrical energy, and reciprocally, according to the invention, comprising a pump-turbine, -
figure 2 is a graph representing characteristics in turbine mode of the pump-turbine of the installation offigure 1 , and -
figure 3 is a control scheme illustrating a method according to the invention, that aims at stabilizing the rotation speed of the pump-turbine belonging to the installation offigure 1 . -
Figure 1 represents aninstallation 2 for converting hydraulic energy into electrical energy. Theinstallation 2 includes a hydraulic machine. In the example, this hydraulic machine is a pump-turbine 20 that uses, in turbine mode, hydraulic energy to set ashaft 201 in rotation around an axis Z201. Theshaft 201 is coupled to a non-represented generator to produce electricity. - Here-below, unless otherwise mentioned, the pump-
turbine 20 is functioning in turbine mode. The pump-turbine 20 includes avolute 200 that is supported byconcrete blocks volute 200. This penstock generates a forced water flow F to power themachine 20. Themachine 20 includes arunner 202 that is surrounded by thevolute 200 and that includesblades 208 between which water flows in operating conditions. As a result, therunner 202 rotates around an axis Z202 that is superimposed with the axis of rotation Z201 of theshaft 201. Therunner 202 is secured to theshaft 201. - A distributor is arranged around the
runner 202. It includes a plurality ofmovable guide vanes 206 that are evenly distributed around therunner 202. A pre-distributor is disposed upstream of and around the distributor. The pre-distributor is formed by a plurality ofstay vanes 204 evenly distributed around the axis of rotation Z202 of therunner 202. - A
suction pipe 26 is disposed below therunner 202 and is adapted to evacuate water downstream themachine 20. - The guide vanes 206 of the distributor have each an adjustable pitch around an axis Z206 parallel to the axis of rotation Z202 of the
runner 202. Consequently, they may be swiveled to regulate the flow rate of water entering themachine 20. Theguide vanes 206 are all oriented with the same angle relative to a closed position. In other words, they are synchronized. - The hillchart of a hydraulic machine is a collection of operating points that are each defined by a quadruplet of values N11, C11, Q11, Y, wherein Y is the orientation affected to the
guide vanes 206, N11 is a parameter that depends on the rotation speed of the machine, C11 is a parameter that depends on the torque exerted by water of flow F on the machine runner and Q11 is a parameter that depends on the flow rate of water flowing through the hydraulic machine. At a given guide vanes orientation Y, an "iso-opening" curve can be extracted from the hillchart. - As an illustrative example,
figure 2 represents five iso-opening curves that correspond each to a different guide vanes orientation Y1, Y2, Y3, Y4 and Y5. These iso-opening curves are plotted on a graph having N11-axis as abscissa axis and C11-axis as ordinate axis. The upper right quadrant of that graph, that is the quadrant wherein N11 and C11 are both positive, corresponds to turbine mode. In turbine mode, the operating range of the pump-turbine 20 corresponds to the interval between a lower gross head Hmin and an upper gross head Hmax to which may be subjected the machine. At a given net head H, the coupling point I of themachine 20 is known. This coupling point I corresponds to a point at which the pump-turbine 20 may be coupled to the grid in turbine mode. It is a no-load operating point, at which no torque is exerted on therunner 202 and at which the machine rotation speed is synchronized with the grid frequency. In the chosen example, this coupling point I is located on the iso-opening curve associated to the guide vanes opening Y2. As shown onfigure 2 , thehydraulic machine 20 presents S-characteristics under low water fall conditions. More precisely, the iso-opening curves corresponding to the guide vanes opening Y1 and Y2, which allow reaching the machine coupling point under low water fall conditions, include an S-portion. - In the present document, an S-characteristic portion of an iso-opening curve corresponds to a curve portion having a positive slope. In other words, it is a curve portion for which an increase of the parameter N11 implies an increase of the parameter C11. For the clarity of the specification, considering the example of the iso-opening curve associated to the guide vanes opening Y2, the S-characteristic portion is delimited between points K and J.
- The S-characteristic portion is deemed unstable. This means that the
hydraulic machine 20 is sensitive to perturbations in this particular portion. As a result, a slight variation of the rotation speed of the machine relative to the coupling point I implies a significant increase of the torque applied while the water flow F on therunner 202 of the pump-turbine 20, hence substantially increasing or decreasing the machine rotation speed. The stabilization of the machine rotation speed may then be hard to achieve. - Here-below, one explains, in correspondence with
figure 3 , a method for automatically stabilizing the rotation speed of a hydraulic machine with S-characteristics. In particular, the method is suited for stabilizing the machine rotation speed when the coupling point is located in a S-characteristic portion, such the point I. - As shown on
figure 3 , this method is implemented by means of a control loop feed-back system 1 having a controller C(s) that is, in the example, a proportional integrative derivative controller. The controller C(s) takes as input a speed difference ΔN between the rotation speed N of the hydraulic machine and the target rotation speed Nc. Then, the controller C(s) outputs an orientation Yi to affect the guide vanes 206. In Laplace domain, the transfer function of the controller is given below: - The control loop feedback system 1 acts directly on the real machine behavior, that is represented by bloc real Σ on
figure 3 . Real Σ corresponds to the real transfer function of thehydraulic machine 20. - The method is iterative. It consists then in successively generating regulation parameters of C(s) to stabilize the rotation speed at the target rotation speed. The target rotation speed Nc corresponds to a synchronization speed with the grid. At the beginning of the method, the
guide vanes 206 are oriented at a nominal orientation. - A first step of the method consists in calculating a set of internal states associated to the operating point of the
machine 20. This set of internal states includes the coordinates N11, Q11, C11 of the operating point, the net head H subjected to thehydraulic machine 20, the flow rate Q of water passing through themachine 20 and some partial derivatives associated to the coordinates of the machine operating point. These partial derivatives are intrinsic to the operating point quadruplet of values. - The set of internal states associated to the operating point may be calculated on the basis of hillchart knowledge and of direct measurements. A
calculator 102 integrated to the control loop feedback system 1 allows performing this task. - The transfer function Σ real is highly non-linear and cannot be directly exploited to stabilize the machine rotational speed.
- A second step of the method consists then in establishing a linearized transfer function Σlin(s) that may be used in the calculation process leading to the stabilization of the machine rotation speed N. It represents the machine rotational speed in function of the orientation affected to the guide vanes. This transfer function Σlin(s) can be considered as the closest linearized model to reality. In Laplace domain, the transfer function Σlin(s) can be given by the equation below:
- The characteristic parameters A0, A1, B0, B1 and B2 of the linearized transfer function Σlin(s) are calculated in function of the set of internal states calculated at the first step so that the transfer function Σlin(s) is as realistic as possible. This operation is done in a
calculator 103. In other words, the linearized transfer function characteristic parameters are calculated so that the rotation speed calculated according to this linearized function is approximately the same than the real rotation speed at a given guide vanes orientation. - A third step of the method is to calculate the regulation parameters Kp, Ti and Td of the controller so that the control loop feedback system 1 is stable. For that purpose, a
calculator 100 designed for performing this task is integrated to the control system 1 and the real transfer function real Σ is approximated by the linearized transfer function Σlin(s). The regulation parameters are calculated so that the approximated closed loop-transfer function - As a reminder, the poles of an expression are the values of the Laplace variable s for which the denominator of the expression is null.
- It exists various numbers of methods to ensure stability of F(s). For example, the pole compensation method is presented here. Pole placement method can also be used but is not presented. The poles of the denominator of the transfer function Σlin(s) are deemed unstable. The numerator of the controller C(s) is then adjusted to compensate, or inhibit, this unstable behavior. More precisely, the numerator of the controller C(s) is chosen to have the same poles than the denominator of the transfer function Σlin(s). This is called pole compensation and results in the following equation:
-
- To ensure stability of the control loop feedback system 1, the poles of the denominator of the approximated control loop-transfer function F(s) must each have a negative real part. To achieve this goal, a pole placement method can be used. This pole placement method consists in adjusting the parameters of the expression to obtain one or more desired poles. In the present case, a pole equals to
-
- A fourth step of the method is to measure the rotation speed N of the machine.
- A further step consists in comparing the measured rotation speed N with the target rotation speed Nc, that corresponds to the synchronization speed with the grid.
- A last step consists in automatically adjusting, by the controller, the orientation affected to the
guide vanes 206 so as to reduce the speed difference ΔN between the measured rotation speed N and the target rotation speed Nc. For that purpose, the controller outputs a target opening Y i+1 to affect the guide vanes 206. This target opening Y i+1 is used as a command for theguide vanes 206 of the real system represented by the linearized transfer function Σlin(s). - Indeed, as mentioned here-above, the method is iterative, which means that the steps described here-above are reiterated while the system is in start-up mode
- As a result, the characteristic parameters of the linearized transfer function Σlin(s) are calculated at each iteration of the method to fit as much as possible with reality. Accordingly, the regulation parameters Kp, Ti and Td of the controller are calculated at each increment, that is at each iteration of the method, so as to obtain a control loop feedback system that is stable.
- In a non-represented alternative embodiment of the invention, a similar method can be implemented to stabilize the rotation speed of a double-regulated turbine, such as a Kaplan turbine or a Bulb turbine. A double-regulated turbine includes a hub equipped with movable blades. The flow rate of water circulating around the hub is also regulated thanks to a series of guide vanes. In this case, the movable blades are also oriented to reduce the speed difference ΔN between the rotation speed N calculated on the basis of the transfer function Σlin(s) and the target rotation speed Nc.
- In a non-represented alternative embodiment of the invention, a similar method can be implemented to stabilize the rotational speed of a Francis turbine designed for high net head conditions.
- In another alternative embodiment that is not covered by the present invention, another type of controller than a PID controller may be used. For instance, the controller C(s) may be a lead-lag compensator or a double derivative controller. The technical features of the different embodiments and alternative embodiments of the invention described here-above can be combined together to generate new embodiments of the invention, according to the attached claims set.
Claims (10)
- Method for stabilizing the rotation speed (N) of a hydraulic machine (20) with S-characteristics, characterized in that it is implemented by means of a control loop feedback system (1) having a controller (C(s)) for calculating an orientation (Y) to affect guide vanes (206) of the machine and in that the method includes steps that consist, at each iteration, in :a) calculating a set of internal states (N11, Q11, C11, H, Q) associated to the operating point of the machine,b) in accordance with the set of internal states calculated at step a), establishing a linearized transfer function (Σlin(s)) representing the machine rotational speed in function of the guide vanes orientation,c) calculating characteristic parameters (Kp, Ti, Td) of the controller in function of characteristic parameters (A0, A1, B0, B1, B2) of the linearized transfer function established at step b) so that the control loop feedback system is stable,d) measuring the rotation speed (N) of the hydraulic machine,e) comparing the measured rotation speed (N) with a target rotation speed (Nc), andf) adjusting, by the controller (C(s)), the orientation (Y) affected to the guide vanes so as to reduce the speed difference (ΔN) between the measured rotation speed (N) and the target rotation speed (Nc).
- Method according to claim 1, characterized in that the set of internal states associated to the operating point includes the coordinates (N11, Q11, C11) of the operating point, the net head (H) subjected to the hydraulic machine (20), the flow rate (Q) of water passing through the machine (20) and some partial derivative associated to the coordinates of the machine operating point.
- Method according to claim, 1 or 2 characterized in that, at step c), the characteristic parameters (Kp, Ti, Td) of the controller are calculated according to a pole compensation method and/or a pole placement method.
- Method according to any previous claim, characterized in that the controller (C(s)) is a proportional integrative derivative controller.
- Method according to any previous claim, characterized in that the hydraulic machine (20) is a double-regulated turbine, comprising a hub equipped with movable blades and in that step d) also consists in adjusting the orientation affected to the movable blades of the machine to reduce the speed difference (ΔN) between the measured rotation speed (N) of the machine and the target rotation speed (Nc).
- Method according to any previous claim, characterized in that the linearized transfer function (Σlin(s)) and the controller (C(s)) are modelled in Laplace domain.
- Installation (2) for converting hydraulic energy into electrical energy, comprising a hydraulic machine (20) with adjustable guide vanes (206), characterized in that it further includes:- a control loop feedback system (1) having a controller (C(s)) for calculating an orientation (Y) to affect the guide vanes (206),- means (102) to calculate a set of internal states (N11, Q11, C11, H, Q) associated to the operating point of the machine,- means (103) to establish, in accordance with the set of calculated internal states, a linearized transfer function (Σlin(s)) representing the machine rotational speed in function of the guide vanes orientation,- means (100) to calculate characteristic parameters (Kp, Ti, Td) of the controller in function of characteristic parameters (A0, A1, B0, B1, B2) of the established linearized transfer function so that the control loop feedback system is stable,- means to measure the rotation speed (N) of the hydraulic machine,- means to compare the measured rotation speed (N) with a target rotation speed (Nc), and- a controller (C(s)) to adjust the orientation affected to the guide vanes so as to reduce the speed difference (ΔN) between the measured rotation speed (N) and the target rotation speed (Nc).
- Installation according to claim 7, characterized in that the hydraulic machine (20) is a pump-turbine with S-characteristics in turbine mode.
- Installation according to claim 7, characterized in that the hydraulic machine (20) is a Francis turbine designed for high net head conditions.
- Installation according to claim 7, characterized in that the hydraulic machine (20) is a double-regulated turbine, comprising a hub equipped with movable blades and in that the installation further includes means to adjust the orientation affected to the movable blades of the machine so as to reduce the speed difference (ΔN) between the measured rotation speed (N) of the machine and the target rotation speed (Nc).
Priority Applications (8)
Application Number | Priority Date | Filing Date | Title |
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ES14290369.9T ES2690579T3 (en) | 2014-12-04 | 2014-12-04 | Procedure to stabilize the rotation speed of a hydraulic machine with S characteristics and installation to convert hydraulic energy into electrical energy |
EP14290369.9A EP3029311B1 (en) | 2014-12-04 | 2014-12-04 | Method for stabilizing the rotation speed of a hydraulic machine with s-characteristics and installation for converting hydraulic energy into electrical energy |
PT14290369T PT3029311T (en) | 2014-12-04 | 2014-12-04 | Method for stabilizing the rotation speed of a hydraulic machine with s-characteristics and installation for converting hydraulic energy into electrical energy |
CN201580064649.2A CN107110104B (en) | 2014-12-04 | 2015-12-01 | Method for stabilizing the rotational speed of a hydraulic machine with S characteristics and device for converting hydraulic energy into electrical energy |
US15/532,108 US10415540B2 (en) | 2014-12-04 | 2015-12-01 | Method for stabilizing the rotation speed of a hydraulic machine with S-characteristics and installation for converting hydraulic energy into electrical energy |
KR1020177017664A KR102399402B1 (en) | 2014-12-04 | 2015-12-01 | Method for stabilizing the rotation speed of a hydraulic machine with s-characteristics and installation for converting hydraulic energy into electrical energy |
PCT/EP2015/078240 WO2016087458A1 (en) | 2014-12-04 | 2015-12-01 | Method for stabilizing the rotation speed of a hydraulic machine with s-characteristics and installation for converting hydraulic energy into electrical energy |
RU2017117029A RU2715465C2 (en) | 2014-12-04 | 2015-12-01 | Method for stabilization of hydraulic machine rotation speed and installation containing hydraulic machine |
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EP14290369.9A EP3029311B1 (en) | 2014-12-04 | 2014-12-04 | Method for stabilizing the rotation speed of a hydraulic machine with s-characteristics and installation for converting hydraulic energy into electrical energy |
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EP3029311B1 true EP3029311B1 (en) | 2018-09-12 |
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EP14290369.9A Active EP3029311B1 (en) | 2014-12-04 | 2014-12-04 | Method for stabilizing the rotation speed of a hydraulic machine with s-characteristics and installation for converting hydraulic energy into electrical energy |
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US (1) | US10415540B2 (en) |
EP (1) | EP3029311B1 (en) |
KR (1) | KR102399402B1 (en) |
CN (1) | CN107110104B (en) |
ES (1) | ES2690579T3 (en) |
PT (1) | PT3029311T (en) |
RU (1) | RU2715465C2 (en) |
WO (1) | WO2016087458A1 (en) |
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ES2811373T3 (en) | 2017-02-09 | 2021-03-11 | Ge Renewable Tech | Procedure for stabilizing the rotational speed of a hydraulic machine with S characteristic and corresponding installation for the conversion of hydraulic energy into electrical energy |
EP3836335A1 (en) * | 2019-12-12 | 2021-06-16 | GE Renewable Technologies | Method for coupling a hydroelectric power plant to the grid comprising at least two hydroelectric units |
Family Cites Families (17)
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US3464432A (en) * | 1967-05-08 | 1969-09-02 | Us Interior | Apparatus for stabilizing speed control action on hydraulic turbines |
JPS5569770A (en) * | 1978-11-20 | 1980-05-26 | Hitachi Ltd | Pump turbine control device |
US4640664A (en) * | 1983-03-15 | 1987-02-03 | Tokyo Shibaura Denki Kabushiki Kaisha | Methods of controlling operation of multistage hydraulic machines |
JP2585220B2 (en) * | 1986-04-30 | 1997-02-26 | 株式会社日立製作所 | Variable speed pumping equipment |
SU1671948A1 (en) * | 1989-05-16 | 1991-08-23 | Производственное Объединение Турбостроения "Ленинградский Металлический Завод" | Way of running hydraulic turbine |
JP2714449B2 (en) * | 1989-08-08 | 1998-02-16 | 株式会社日立製作所 | Variable speed pump system |
FR2675211B1 (en) * | 1991-04-12 | 1993-08-06 | Neyrpic | DEVICE FOR ADJUSTING THE ROTATION SPEED OF A REVERSIBLE HYDRAULIC MACHINE OPERATING IN A TURBINE. |
US5355675A (en) * | 1993-08-31 | 1994-10-18 | Western Atlas International, Inc. | Stabilized speed-control system for a hydrostatic transmission |
JPH11182204A (en) * | 1997-12-15 | 1999-07-06 | Toshiba Corp | Moving blade for turbine |
DE19860617C1 (en) * | 1998-12-29 | 2000-10-05 | Voith Hydro Gmbh & Co Kg | Method for starting up a machine set, comprising a pump turbine and a motor generator |
JP4337270B2 (en) * | 2001-04-05 | 2009-09-30 | 株式会社日立製作所 | Pump turbine |
JP4123890B2 (en) * | 2002-10-04 | 2008-07-23 | 株式会社日立製作所 | Pump water wheel |
US6898540B2 (en) | 2002-11-12 | 2005-05-24 | General Electric Company | System and method for displaying real-time turbine corrected output and heat rate |
CN100458170C (en) | 2003-01-28 | 2009-02-04 | 姚福来 | Method and apparatus for controlling operating efficiency of water pump fan of control speed regulator |
CN1973128A (en) * | 2004-05-06 | 2007-05-30 | Az工程股份公司 | Modular hydraulic or hydroelectric machine |
EP2122129B1 (en) * | 2007-02-14 | 2018-04-11 | General Electric Technology GmbH | Power plant system and method for the operation thereof |
US8125096B2 (en) * | 2007-07-05 | 2012-02-28 | Salvatore Shifrin | Hydro turbine generator |
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2014
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- 2015-12-01 WO PCT/EP2015/078240 patent/WO2016087458A1/en active Application Filing
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US10415540B2 (en) | 2019-09-17 |
KR20170093864A (en) | 2017-08-16 |
CN107110104B (en) | 2020-06-16 |
WO2016087458A1 (en) | 2016-06-09 |
RU2017117029A (en) | 2019-01-10 |
RU2715465C2 (en) | 2020-02-28 |
PT3029311T (en) | 2018-11-07 |
US20170268478A1 (en) | 2017-09-21 |
EP3029311A1 (en) | 2016-06-08 |
KR102399402B1 (en) | 2022-05-17 |
RU2017117029A3 (en) | 2019-04-18 |
ES2690579T3 (en) | 2018-11-21 |
CN107110104A (en) | 2017-08-29 |
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